subject: Mathematics date: 2015

10.4231/R7RV0KM6

Suchuan Dong, 0000-0001-6778-0679

04/16/2015

We present a family of energy-stable open boundary conditions and an associated numerical algorithm for incompressible flow simulations. These open boundary conditions all ensure the energy stability of the system.

backflow instability energy stability energy-stable boundary conditions Mathematics Navier-Stokes open boundary condition outflow outflow boundary condition Physics spectral element method unbounded domain velocity correction

10.4231/R7ZG6Q6T

Walter Gautschi, 0000-0001-9184-8899

12/30/2015

This includes symbolic versions of some of the more important OPQ routines.

Airy weight function Bose-Einstein distribution Chebyshev-type quadratures Classical weight functions Computer Science Fermi Dirac weight Function Freud weight function Gauss-type quadrature rules Hermite weight function Jacobi weight functions K-Bessel weight function Laguerre weight functions Mathematics Matlab OPQ routine Orthogonal polynomials Perl Script quadrature Software source code Walter Gautschi Archives Walter Gautschi Selected Works

10.4231/R7J9649P

Suchuan Dong, 0000-0001-6778-0679

04/07/2015

We present a family of thermodynamically consistent physical formulation and efficient numerical algorithm for simulating the mixture of N (N >= 2) immiscible incompressible fluids with given densities, dynamic viscosities and...

applied mathematics computational physics general order parameters Mathematics multiphase flows N-phase flow pairwise surface tension phase field Physics spectral element surface tension

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